Results 61 to 70 of about 144,627 (278)

Eigenvalues of Sturm-Liouville operators and prime numbers

open access: yesElectronic Journal of Differential Equations, 2017
We show that there is no function $q(x)\in L_2(0,1)$ which is the potential of a Sturm-Liouville problem with Dirichlet boundary condition whose spectrum is a set depending nonlinearly on the set of prime numbers as suggested by Mingarelli [7].
Rauf Amirov, Ibrahim Adalar
doaj  

Sequence determinants of RNA G‐quadruplex unfolding by Arg‐rich regions

open access: yesFEBS Letters, EarlyView.
We show that Arg‐rich peptides selectively unfold RNA G‐quadruplexes, but not RNA stem‐loops or DNA/RNA duplexes. This length‐dependent activity is inhibited by acidic residues and is conserved among SR and SR‐related proteins (SRSF1, SRSF3, SRSF9, U1‐70K, and U2AF1).
Naiduwadura Ivon Upekala De Silva   +10 more
wiley   +1 more source

A note on Sturm-Liouville problems whose spectrum is the set of prime numbers

open access: yesElectronic Journal of Differential Equations, 2011
We show that there is no classical regular Sturm-Liouville problem on a finite interval whose spectrum consists of infinitely many distinct primes numbers. In particular, this answers in the negative a question raised by Zettl in his book [9].
Angelo B. Mingarelli
doaj  

The emergence of the Mersenne Star: a new geometry of prime numbers bridging physics and artificial general intelligence

open access: yesArab Journal of Basic and Applied Sciences
This paper introduces a new key geometric way to understand Mersenne prime numbers. It discovers a shape called the Mersenne Star, which appears naturally from a special sequence named the Quanta Prime Sequence (QPS).
Moustafa Ibrahim
doaj   +1 more source

Structural instability impairs function of the UDP‐xylose synthase 1 Ile181Asn variant associated with short‐stature genetic syndrome in humans

open access: yesFEBS Letters, EarlyView.
The Ile181Asn variant of human UDP‐xylose synthase (hUXS1), associated with a short‐stature genetic syndrome, has previously been reported as inactive. Our findings demonstrate that Ile181Asn‐hUXS1 retains catalytic activity similar to the wild‐type but exhibits reduced stability, a looser oligomeric state, and an increased tendency to precipitate ...
Tuo Li   +2 more
wiley   +1 more source

Pseudo-prime number simulation and its application for security purpose

open access: yesMATEC Web of Conferences, 2018
Many public cryptography schemes rely on the use of prime numbers like for encryption and decryption. A prime number is one number that is widely used and large and consists of hundreds of digits, so it takes time to test whether the numbers are prime or
Rahim Robbi   +10 more
doaj   +1 more source

Una aproximación a la Conjetura de Goldbach

open access: yesEcomatemático, 2019
One of the mathematical problems that seems to be very true, but lacks a demonstration, is Goldbach's conjecture posed since 1742.The present article makes a critical analysis, where several proposals for its solution were compiled, with a ...
Ingrid Yurley Parada-Buitrago   +2 more
doaj   +1 more source

Cell density–dependent nuclear‐cytoplasmic shuttling of SETDB1 integrates with Hippo signaling to regulate YAP1‐mediated transcription

open access: yesFEBS Letters, EarlyView.
At low cell density, SETDB1 and YAP1 accumulate in the nucleus. As cell density increases, the Hippo pathway is gradually activated, and SETDB1 is associated with increased YAP1 phosphorylation. At high cell density, phosphorylated YAP1 is sequestered in the cytoplasm, while SETDB1 becomes polyubiquitinated and degraded by the ubiquitin–proteasome ...
Jaemin Eom   +3 more
wiley   +1 more source

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